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$9.$ Atwood Machine $0210$ pts possible

An Atwood machine is constructed using a hoop with spokes of negligible mass. The $2\mathrm{.}2$ kg mass of the pulley is concentrated on its rim, which is a distance $22$ cm from the axle. The mass on the right is $1\mathrm{.}44$ kg and on the left is $1\mathrm{.}87$ kg $.$

What is the magnitude of the linear acceleration of the hanging masses? The acceleration of gravity is $9\mathrm{.}8\frac{m}{s^2}.$

Answer in units of $\frac{m}{s^2}.$

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